How do I solve this :

1+(gamma)+ (gamma^2)/(2!)+(gamma^3)/3!+....

The answer given is e^gamma.

Btw,how do I post questions using mathematical symbols(gamma,set notation etc.)? I'm new here. Thanks a lot!(Bow)

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- Feb 19th 2010, 06:41 PMcyt91Summation to infinity involving gammaHow do I solve this :

1+(gamma)+ (gamma^2)/(2!)+(gamma^3)/3!+....

The answer given is e^gamma.

Btw,how do I post questions using mathematical symbols(gamma,set notation etc.)? I'm new here. Thanks a lot!(Bow)

- Feb 19th 2010, 06:47 PMo_O
The Maclaurin series for $\displaystyle f(x) = e^x$ is $\displaystyle \sum_{n=0}^{\infty} \frac{x^n}{n!}$.

We know the series converges to $\displaystyle f(x)$, so your question amounts to recognizing that your series is simply $\displaystyle f(\gamma)$

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